参数资料
型号: IPR-NCO
厂商: Altera
文件页数: 37/54页
文件大小: 0K
描述: IP NCO COMPILER RENEW
标准包装: 1
系列: *
类型: MegaCore
功能: 数控振荡器编译器
许可证: 续用许可证
Chapter 4: Functional Description
4–5
Functional Description
In a small ROM architecture, the device memory only stores 45 degrees of the sine and
cosine waveforms. All other output values are derived from these values based on the
position of the rotating phasor on the unit circle as shown in Table 4–1 and Figure 4–2 .
Table 4–1. Derivation of Output Values
Position in Unit Circle
1
2
3
4
5
6
7
8
Range for Phase x
0 <= x < p/4
p/4 <= x < p/2
p/2 <= x < 3p/4
3p/4 <= x < p
p <= x < 5p/4
5p/4 <= x < 3p/2
3p/2 <= x < 7p/4
7p/4 <= x < 2p
sin(x)
sin(x)
cos(p/4x)
cos(x-p/2)
sin(p-x)
-sin(x-p)
-cos(3p/2-x)
-cos(x-3p/2)
-sin(2p-x)
cos(x)
cos(x)
sin(p/2-x)
-sin(x-p/2)
-cos(p-x)
-cos(x-p)
-sin(3p/2-x)
sin(x-3p/2)
cos(2p-x)
Because a small ROM implementation is more likely to have periodic value repetition,
the resulting waveform’s SFDR is lower than that of the large ROM architecture.
However, you can often mitigate this reduction in SFDR by using phase dithering. For
information about this option, refer to “Phase Dithering” on page 4–8 .
Figure 4–2. Derivation of output Values
CORDIC Architecture
The CORDIC algorithm, which can calculate trigonometric functions such as sine and
cosine, provides a high-performance solution for very-high precision oscillators in
systems where internal memory is at a premium.
The CORDIC algorithm is based on the concept of complex phasor rotation by
multiplication of the phase angle by successively smaller constants. In digital
hardware, the multiplication is by powers of two only. Therefore, the algorithm can be
implemented efficiently by a series of simple binary shift and additions/subtractions.
November 2013
Altera Corporation
NCO MegaCore Function
User Guide
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